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Finding the Fourth Proportional to 14,220.48, 19,633.98 and 9,196.86

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Solution

The fourth proportional to 14,220.48, 19,633.98 and 9,196.86 is: 12,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220.48 : 19,633.98 = 9,196.86 : x
  2. Step 2: Convert to fraction form
    14,220.48/19,633.98 = 9,196.86/x
  3. Step 3: Cross multiply
    14,220.48x = 19,633.98 × 9,196.86
  4. Step 4: Simplify right side
    14,220.48x = 180,570,965.30
  5. Step 5: Solve for x
    x = 180,570,965.30/14,220.48
  6. Step 6: Final answer
    x = 12,697.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.